AP EAMCET · Maths · Differentiation
If \(x=3\left[\sin t-\log \left(\cot \frac{t}{2}\right)\right]\) and \(y=6\left[\cos t+\log \left(\tan \frac{t}{2}\right)\right]\) then \(\frac{d y}{d x}=\)
- A \(\frac{2 \sin ^2 t}{1+\sin t \cos t}\)
- B \(\frac{2 \cos ^2 t}{1+\sin 2 t}\)
- C \(\frac{2 \cos ^2 t}{1+\sin t \cos t}\)
- D \(\frac{1+\cos 2 t}{1+\sin 2 t}\)
Answer & Solution
Correct Answer
(C) \(\frac{2 \cos ^2 t}{1+\sin t \cos t}\)
Step-by-step Solution
Detailed explanation
Given, \(x=3\left[\sin t-\log \left(\cot \frac{t}{2}\right)\right]\) and \(y=6\left[\cos t+\log \left(\tan \frac{t}{2}\right)\right]\) Now,…
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